Journal articles: 'MsFEM'

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Hollaus, Karl. "A MSFEM to simulate the eddy current problem in laminated iron cores in 3D." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 5 (September 2, 2019): 1667–82. http://dx.doi.org/10.1108/compel-12-2018-0538.

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Purpose The simulation of eddy currents in laminated iron cores by the finite element method (FEM) is of great interest in the design of electrical devices. Modeling each laminate by finite elements leads to extremely large nonlinear systems of equations impossible to solve with present computer resources reasonably. The purpose of this study is to show that the multiscale finite element method (MSFEM) overcomes this difficulty. Design/methodology/approach A new MSFEM approach for eddy currents of laminated nonlinear iron cores in three dimensions based on the magnetic vector potential is presented. How to construct the MSFEM approach in principal is shown. The MSFEM with the Biot–Savart field in the frequency domain, a higher-order approach, the time stepping method and with the harmonic balance method are introduced and studied. Findings Various simulations demonstrate the feasibility, efficiency and versatility of the new MSFEM. Originality/value The novel MSFEM solves true three-dimensional eddy current problems in laminated iron cores taking into account of the edge effect.

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Legoll, Frédéric, Pierre-Loïk Rothé, Claude Le Bris, and Ulrich Hetmaniuk. "An MsFEM Approach Enriched Using Legendre Polynomials." Multiscale Modeling & Simulation 20, no. 2 (June 30, 2022): 798–834. http://dx.doi.org/10.1137/21m1444151.

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Le Bris, Claude, Frédéric Legoll, and Alexei Lozinski. "An MsFEM Type Approach for Perforated Domains." Multiscale Modeling & Simulation 12, no. 3 (January 2014): 1046–77. http://dx.doi.org/10.1137/130927826.

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Klimczak, Marek, and Witold Cecot. "An adaptive MsFEM for nonperiodic viscoelastic composites." International Journal for Numerical Methods in Engineering 114, no. 8 (February 12, 2018): 861–81. http://dx.doi.org/10.1002/nme.5768.

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Klimczak, Marek, and Witold Cecot. "Higher Order Multiscale Finite Element Method for Heat Transfer Modeling." Materials 14, no. 14 (July 8, 2021): 3827. http://dx.doi.org/10.3390/ma14143827.

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In this paper, we present a new approach to model the steady-state heat transfer in heterogeneous materials. The multiscale finite element method (MsFEM) is improved and used to solve this problem. MsFEM is a fast and flexible method for upscaling. Its numerical efficiency is based on the natural parallelization of the main computations and their further simplifications due to the numerical nature of the problem. The approach does not require the distinct separation of scales, which makes its applicability to the numerical modeling of the composites very broad. Our novelty relies on modifications to the standard higher-order shape functions, which are then applied to the steady-state heat transfer problem. To the best of our knowledge, MsFEM (based on the special shape function assessment) has not been previously used for an approximation order higher than p = 2, with the hierarchical shape functions applied and non-periodic domains, in this problem. Some numerical results are presented and compared with the standard direct finite-element solutions. The first test shows the performance of higher-order MsFEM for the asphalt concrete sample which is subject to heating. The second test is the challenging problem of metal foam analysis. The thermal conductivity of air and aluminum differ by several orders of magnitude, which is typically very difficult for the upscaling methods. A very good agreement between our upscaled and reference results was observed, together with a significant reduction in the number of degrees of freedom. The error analysis and the p-convergence of the method are also presented. The latter is studied in terms of both the number of degrees of freedom and the computational time.

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Degond, Pierre, Alexei Lozinski, Bagus Putra Muljadi, and Jacek Narski. "Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media." Communications in Computational Physics 17, no. 4 (April 2015): 887–907. http://dx.doi.org/10.4208/cicp.2014.m299.

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AbstractThe adaptation of Crouzeix-Raviart finite element in the context of multi-scale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion problems in perforated media. It is known that the approximation of boundary condition on coarse element edges when computing the multiscale basis functions critically influences the eventual accuracy of any MsFEM approaches. The weakly enforced continuity of Crouzeix-Raviart function space across element edges leads to a natural boundary condition for the multiscale basis functions which relaxes the sensitivity of our method to complex patterns of perforations. Another ingredient to our method is the application of bubble functions which is shown to be instrumental in maintaining high accuracy amid dense perforations. Additionally, the application of penalization method makes it possible to avoid complex unstructured domain and allows extensive use of simpler Cartesian meshes.

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Li, Cui Yu, and Xiao Tao Zhang. "Multi-Scale Finite Element Method and its Application." Advanced Materials Research 146-147 (October 2010): 1583–86. http://dx.doi.org/10.4028/www.scientific.net/amr.146-147.1583.

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In order to improve the computing precision and computing efficiency of strength of woven composite material, the strength of woven composite material based on multi-scale finite element method (MsFEM) is simulated. The periodical boundary conditions are applied to the finite element method analyses to ensure stress continuous and strain continuous on boundary surfaces. The method can efficiently capture the large scale behavior of the solution without resolving all the small scale features by constructing the multi-scale finite element base functions that are adaptive to the local property of the differential operator. The characteristic difference between MsFEM and the conventional finite element method is attributed to base function. The applications demonstrate that the advantages of the multi-scale finite element method for numerical simulation of strength problem of woven composite material, i.e. significantly reducing computational efforts, and improving the accuracy of the solutions.

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Chamoin, Ludovic, and Frédéric Legoll. "Goal-oriented error estimation and adaptivity in MsFEM computations." Computational Mechanics 67, no. 4 (March 17, 2021): 1201–28. http://dx.doi.org/10.1007/s00466-021-01990-x.

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Bal, Guillaume, and Wenjia Jing. "Corrector Theory for MsFEM and HMM in Random Media." Multiscale Modeling & Simulation 9, no. 4 (October 2011): 1549–87. http://dx.doi.org/10.1137/100815918.

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Efendiev, Yalchin, Juan Galvis, and M. Sebastian Pauletti. "Multiscale Finite Element Methods for Flows on Rough Surfaces." Communications in Computational Physics 14, no. 4 (October 2013): 979–1000. http://dx.doi.org/10.4208/cicp.170512.310113a.

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AbstractIn this paper, we present the Multiscale Finite Element Method (MsFEM) for problems on rough heterogeneous surfaces. We consider the diffusion equation on oscillatory surfaces. Our objective is to represent small-scale features of the solution via multiscale basis functions described on a coarse grid. This problem arises in many applications where processes occur on surfaces or thin layers. We present a unified multiscale finite element framework that entails the use of transformations that map the reference surface to the deformed surface. The main ingredients of MsFEM are (1) the construction of multiscale basis functions and (2) a global coupling of these basis functions. For the construction of multiscale basis functions, our approach uses the transformation of the reference surface to a deformed surface. On the deformed surface, multiscale basis functions are defined where reduced (1D) problems are solved along the edges of coarse-grid blocks to calculate nodal multiscale basis functions. Furthermore, these basis functions are transformed back to the reference configuration. We discuss the use of appropriate transformation operators that improve the accuracy of the method. The method has an optimal convergence if the transformed surface is smooth and the image of the coarse partition in the reference configuration forms a quasiuniform partition. In this paper, we consider such transformations based on harmonic coordinates (following H. Owhadi and L. Zhang [Comm. Pure and Applied Math., LX(2007), pp. 675-723]) and discuss gridding issues in the reference configuration. Numerical results are presented where we compare the MsFEM when two types of deformations are used for multiscale basis construction. The first deformation employs local information and the second deformation employs a global information. Our numerical results show that one can improve the accuracy of the simulations when a global information is used.

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Henning, Patrick. "Convergence of MsFEM approximations for elliptic, non-periodic homogenization problems." Networks and Heterogeneous Media 7, no. 3 (October 2012): 503–24. http://dx.doi.org/10.3934/nhm.2012.7.503.

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Le Bris, Claude, Frédéric Legoll, and Alexei Lozinski. "MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems." Chinese Annals of Mathematics, Series B 34, no. 1 (January 2013): 113–38. http://dx.doi.org/10.1007/s11401-012-0755-7.

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Chamoin, Ludovic, and Frédéric Legoll. "Correction to: Goal-oriented error estimation and adaptivity in MsFEM computations." Computational Mechanics 68, no. 1 (June 4, 2021): 229–30. http://dx.doi.org/10.1007/s00466-021-02036-y.

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14

Schobinger, Markus, Simon Steentjes, Joachim Schoberl, Kay Hameyer, and Karl Hollaus. "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis." IEEE Transactions on Magnetics 55, no. 8 (August 2019): 1–9. http://dx.doi.org/10.1109/tmag.2019.2907894.

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Klimczak, Marek, and Witold Cecot. "Synthetic Microstructure Generation and Multiscale Analysis of Asphalt Concrete." Applied Sciences 10, no. 3 (January 21, 2020): 765. http://dx.doi.org/10.3390/app10030765.

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In this paper, we present an enhanced framework for the synthetic asphalt concrete (AC) microstructure generation for the numerical analysis purposes. It is based on the Voronoi tessellation concept with some necessary extensions that allow for the reliable generation of the aggregate particles of the given size distribution. The synthetic microstructure generation allows for faster numerical modeling of the novel materials. It can partially replace the X-ray computed tomography approach, which is frequently used in such analysis. Our framework is a kind of compilation of the known techniques with the enhancements applied to expedite the microstructure modeling process. Therefore, the generated microstructure is used in the numerical upscaling to model the macroscale asphalt concrete properties. We restrict ourselves (in this paper only) to the 2D elastic computations. We also assume the perfect bonding between these two materials and the static load for the sake of simplicity. The upscaling is performed by the multiscale finite element method (MsFEM). A short recapitulation of the MsFEM foundations as well as the numerical test comparing the overkill mesh solution with the upscaled one is provided in the paper. The test results confirm that the whole presented methodology can serve as a fast and reliable tool for the tests on novel asphalt mixtures and other heterogeneous materials. It can reduce the cost of the design process substituting some of the laboratory experiments, giving the opportunity to test the developed constitutive models and expedite the numerical analysis itself.

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Hollaus, Karl, Joachim Schöberl, and Markus Schöbinger. "MOR for the MSFEM of the Eddy Current Problem in Linear Laminated Media." SNE Simulation Notes Europe 30, no. 1 (March 2020): 35–38. http://dx.doi.org/10.11128/sne.30.sn.10508.

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Schöbinger, Markus, Joachim Schöberl, and Karl Hollaus. "MSFEM for the Linear 2D1D-Problem of Eddy Currents in Thin Iron Sheets." SNE Simulation Notes Europe 30, no. 1 (March 2020): 39–41. http://dx.doi.org/10.11128/sne.30.sn.10509.

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Chamoin, Ludovic, and Frédéric Legoll. "A posteriori error estimation and adaptive strategy for the control of MsFEM computations." Computer Methods in Applied Mechanics and Engineering 336 (July 2018): 1–38. http://dx.doi.org/10.1016/j.cma.2018.02.016.

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Lim, Jin-Sun, Sokhwan Choi, Yon-Dong Park, Young-Do Jeong, and Seong-Tae Yi. "Effect of Placement Direction of Concrete on Compressive Strength and Size Effect of Specimens Using MSFEM." Journal of the Korea Concrete Institute 34, no. 1 (February 28, 2022): 83–88. http://dx.doi.org/10.4334/jkci.2022.34.1.083.

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Efendiev, Y., O. Iliev, and C. Kronsbein. "Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations." Computational Geosciences 17, no. 5 (August 21, 2013): 833–50. http://dx.doi.org/10.1007/s10596-013-9358-y.

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Liu, Dongxu, Qingqing Li, Meihui Li, and Jianlin Zhang. "A Decompressed Spectral-Spatial Multiscale Semantic Feature Network for Hyperspectral Image Classification." Remote Sensing 15, no. 18 (September 21, 2023): 4642. http://dx.doi.org/10.3390/rs15184642.

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Convolutional neural networks (CNNs) have shown outstanding feature extraction capability and become a hot topic in the field of hyperspectral image (HSI) classification. However, most of the prior works usually focus on designing deeper or wider network architectures to extract spatial and spectral features, which give rise to difficulty for optimization and more parameters along with higher computation. Moreover, how to learn spatial and spectral information more effectively is still being researched. To tackle the aforementioned problems, a decompressed spectral-spatial multiscale semantic feature network (DSMSFNet) for HSI classification is proposed. This model is composed of a decompressed spectral-spatial feature extraction module (DSFEM) and a multiscale semantic feature extraction module (MSFEM). The former is devised to extract more discriminative and representative global decompressed spectral-spatial features in a lightweight extraction manner, while the latter is constructed to expand the range of available receptive fields and generate clean multiscale semantic features at a granular level to further enhance the classification performance. Compared with progressive classification approaches, abundant experimental results on three benchmark datasets prove the superiority of our developed DSMSFNet model.

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Hollaus, Karl, and Markus Schobinger. "Air Gap and Edge Effect in the 2-D/1-D Method With the Magnetic Vector Potential ${A}$ Using MSFEM." IEEE Transactions on Magnetics 56, no. 1 (January 2020): 1–5. http://dx.doi.org/10.1109/tmag.2019.2949004.

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Mondal, Anirban, and Jia Wei. "Bayesian Uncertainty Quantification for Channelized Reservoirs via Reduced Dimensional Parameterization." Mathematics 9, no. 9 (May 10, 2021): 1067. http://dx.doi.org/10.3390/math9091067.

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In this article, we study uncertainty quantification for flows in heterogeneous porous media. We use a Bayesian approach where the solution to the inverse problem is given by the posterior distribution of the permeability field given the flow and transport data. Permeability fields within facies are assumed to be described by two-point correlation functions, while interfaces that separate facies are represented via smooth pseudo-velocity fields in a level set formulation to get reduced dimensional parameterization. The permeability fields within facies and pseudo-velocity fields representing interfaces can be described using Karhunen–Loève (K-L) expansion, where one can select dominant modes. We study the error of posterior distributions introduced in such truncations by estimating the difference in the expectation of a function with respect to full and truncated posteriors. The theoretical result shows that this error can be bounded by the tail of K-L eigenvalues with constants independent of the dimension of discretization. This result guarantees the feasibility of such truncations with respect to posterior distributions. To speed up Bayesian computations, we use an efficient two-stage Markov chain Monte Carlo (MCMC) method that utilizes mixed multiscale finite element method (MsFEM) to screen the proposals. The numerical results show the validity of the proposed parameterization to channel geometry and error estimations.

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Annunziato, M. "Analysis Of Upwind Method For Piecewise Deterministic Markov Processes." Computational Methods in Applied Mathematics 8, no. 1 (2008): 3–20. http://dx.doi.org/10.2478/cmam-2008-0001.

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AbstractA numerical upscaling approach, NU, for solving multiscale elliptic problems is discussed. The main components of this NU are: i) local solve of aux-iliary problems in grid blocks and formal upscaling of the obtained results to build a coarse scale equation; ii) global solve of the upscaled coarse scale equation; and iii) reconstruction of a fine scale solution by solving local block problems on a dual coarse grid. By its structure NU is similar to other methods for solving multiscale elliptic problems, such as the multiscale finite element method, the multiscale mixed finite element method, the numerical subgrid upscaling method, heterogeneous mul-tiscale method, and the multiscale finite volume method. The difference with those methods is in the way the coarse scale equation is build and solved, and in the way the fine scale solution is reconstructed. Essential components of the presented here NU approach are the formal homogenization in the coarse blocks and the usage of so called multipoint flux approximation method, MPFA. Unlike the usual usage of MPFA as a discretization method for single scale elliptic problems with tensor discontinuous coefficients, we consider its usage as a part of a numerical upscaling approach. An aim of this paper is to compare the performance of NU with the one of MsFEM for ceratin multiscale problems. In particular, it is shown that the resonance effect, which limits the application of the Multiscale FEM, does not appear, or it is significantly relaxed, when the presented here numerical upscaling approach is applied.

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ILIEV, O., and I. RYBAK. "ON NUMERICAL UPSCALING FOR FLOWS IN HETEROGENEOUS POROUS MEDIA." Computational Methods in Applied Mathematics 8, no. 1 (2008): 60–76. http://dx.doi.org/10.2478/cmam-2008-0004.

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AbstractA numerical upscaling approach, NU, for solving multiscale elliptic problems is discussed. The main components of this NU are: i) local solve of aux-iliary problems in grid blocks and formal upscaling of the obtained results to build a coarse scale equation; ii) global solve of the upscaled coarse scale equation; and iii) reconstruction of a fine scale solution by solving local block problems on a dual coarse grid. By its structure NU is similar to other methods for solving multiscale elliptic problems, such as the multiscale finite element method, the multiscale mixed finite element method, the numerical subgrid upscaling method, heterogeneous mul-tiscale method, and the multiscale finite volume method. The difference with those methods is in the way the coarse scale equation is build and solved, and in the way the fine scale solution is reconstructed. Essential components of the presented here NU approach are the formal homogenization in the coarse blocks and the usage of so called multipoint flux approximation method, MPFA. Unlike the usual usage of MPFA as a discretization method for single scale elliptic problems with tensor discontinuous coefficients, we consider its usage as a part of a numerical upscaling approach. An aim of this paper is to compare the performance of NU with the one of MsFEM for ceratin multiscale problems. In particular, it is shown that the resonance effect, which limits the application of the Multiscale FEM, does not appear, or it is significantly relaxed, when the presented here numerical upscaling approach is applied

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Solodei, Ivan, Yurii Kozub, Ruslan Stryhun, and Viktoriia Shovkivska. "Algorithms analysis for solving geometrically nonlinear mechanics problems in the scheme of the semi-analytical finite element method." Strength of Materials and Theory of Structures, no. 109 (November 11, 2022): 109–19. http://dx.doi.org/10.32347/2410-2547.2022.109.109-119.

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The effectiveness of using the semi-analytical finite element method (SAFEM) to research geometrically nonlinear construction mechanics problems for 3D bodies of revolution under the arbitrary loads based on a basic ring finite element is considered. An estimate of the rational application parameters of algorithms for taking into account the geometric nonlinearity of a defined above structures class, which has been obtained. In the process of numerically solving spatial problems of the theory of elasticity and plasticity with finite displacements, the choice of rational algorithms for solving systems of nonlinear equations is of fundamental importance. It is conditioned by the need of determining the coordinates of the discrete model in the actual configuration and changing the metric characteristics of the finite elements, which, in its turn, leads to the necessity for multiple solutions of systems of nonlinear equations of high order. Due to the introduction of additional hypotheses that do not reduce the accuracy of the approximation: the representation of deformations and stresses in physical terms and in accordance with the moment scheme of the finite element (MSFEM), it is possible, on the one hand, to avoid the time-consuming procedure of numerical integration over the cross-sectional area of the finite element, on the other hand- to maintain a high efficiency of spatial discretization. An important stage in the implementation of computer systems for solving spatial problems is the selection of optimal, from the point of the solution convergence speed and algorithms for solving equilibrium equations. The specificity of the algebraic equations of the SAFEM is conditioned by violation of the trigonometric function orthogonality in the space of the elasticity operator for bodies with variable stiffness and mass parameters along the guide. The clearly defined block structure of the stiffness matrix became the basis for using algorithms combining direct and iterative methods of solving. The reliability of the obtained results and the effectiveness of the approach are confirmed by the solution of a wide range of control examples under various boundary conditions and external loads.

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Zhou, Hui, and Hamdi A. Tchelepi. "Operator-Based Multiscale Method for Compressible Flow." SPE Journal 13, no. 02 (June 1, 2008): 267–73. http://dx.doi.org/10.2118/106254-pa.

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Summary Multiscale methods have been developed for accurate and efficient numerical solution of flow problems in large-scale heterogeneous reservoirs. A scalable and extendible Operator-Based Multiscale Method (OBMM) is described here. OBMM is cast as a general algebraic framework. It is natural and convenient to incorporate more physics in OBMM for multiscale computation. In OBMM, two operators are constructed: prolongation and restriction. The prolongation operator is constructed by assembling the multiscale basis functions. The specific form of the restriction operator depends on the coarse-scale discretization formulation (e.g., finitevolume or finite-element). The coarse-scale pressure equation is obtained algebraically by applying the prolongation and restriction operators to the fine-scale flow equations. Solving the coarse-scale equation results in a high-quality coarse-scale pressure. The finescale pressure can be reconstructed by applying the prolongation operator to the coarse-scale pressure. A conservative fine-scale velocity field is then reconstructed to solve the transport (saturation) equation. We describe the OBMM approach for multiscale modeling of compressible multiphase flow. We show that extension from incompressible to compressible flows is straightforward. No special treatment for compressibility is required. The efficiency of multiscale formulations over standard fine-scale methods is retained by OBMM. The accuracy of OBMM is demonstrated using several numerical examples including a challenging depletion problem in a strongly heterogeneous permeability field (SPE 10). Introduction The accuracy of simulating subsurface flow relies strongly on the detailed geologic description of the porous formation. Formation properties such as porosity and permeability typically vary over many scales. As a result, it is not unusual for a detailed geologic description to require 107-108 grid cells. However, this level of resolution is far beyond the computational capability of state-of-the-art reservoir simulators (106 grid cells). Moreover, in many applications, large numbers of reservoir simulations are performed (e.g., history matching, sensitivity analysis and stochastic simulation). Thus, it is necessary to have an efficient and accurate computational method to study these highly detailed models. Multiscale formulations are very promising due to their ability to resolve fine-scale information accurately without direct solution of the global fine-scale equations. Recently, there has been increasing interest in multiscale methods. Hou and Wu (1997) proposed a multiscale finite-element method (MsFEM) that captures the fine-scale information by constructing special basis functions within each element. However, the reconstructed fine-scale velocity is not conservative. Later, Chen and Hou (2003) proposed a conservative mixed finite-element multiscale method. Another multiscale mixed finite element method was presented by Arbogast (2002) and Arbogast and Bryant (2002). Numerical Green functions were used to resolve the fine-scale information, which are then coupled with coarse-scale operators to obtain the global solution. Aarnes (2004) proposed a modified mixed finite-element method, which constructs special basis functions sensitive to the nature of the elliptic problem. Chen et al. (2003) developed a local-global upscaling method by extracting local boundary conditions from a global solution, and then constructing coarse-scale system from local solutions. All these methods considered incompressible flow in heterogeneous porous media where the pressure equation is elliptic. A multiscale finite-volume method (MsFVM) was proposed by Jenny et al. (2003, 2004, 2006) for heterogeneous elliptic problems. They employed two sets of basis functions--dual and primal. The dual basis functions are identical to those of Hou and Wu (1997), while the primal basis functions are obtained by solving local elliptic problems with Neumann boundary conditions calculated from the dual basis functions. Existing multiscale methods (Aarnes 2004; Arbogast 2002; Chen and Hou 2003; Hou and Wu 1997; Jenny et al. 2003) deal with the incompressible flow problem only. However, compressibility will be significant if a gas phase is present. Gas has a large compressibility, which is a strong function of pressure. Therefore, there can be significant spatial compressibility variations in the reservoir, and this is a challenge for multiscale modeling. Very recently, Lunati and Jenny (2006) considered compressible multiphase flow in the framework of MsFVM. They proposed three models to account for the effects of compressibility. Using those models, compressibility effects were represented in the coarse-scale equations and the reconstructed fine-scale fluxes according to the magnitude of compressibility. Motivated to construct a flexible algebraic multiscale framework that can deal with compressible multiphase flow in highly detailed heterogeneous models, we developed an operator-based multiscale method (OBMM). The OBMM algorithm is composed of four steps:constructing the prolongation and restriction operators,assembling and solving the coarse-scale pressure equations,reconstructing the fine-scale pressure and velocity fields, andsolving the fine-scale transport equations. OBMM is a general algebraic multiscale framework for compressible multiphase flow. This algebraic framework can also be extended naturally from structured to unstructured grid. Moreover, the OBMM approach may be used to employ multiscale solution strategies in existing simulators with a relatively small investment.

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Zhou, Qi, Xuyan Zhang, and Chaoqun Wu. "A Novel MSFED Feature for the Intelligent Fault Diagnosis of Rotating Machines." Machines 10, no. 9 (August 29, 2022): 743. http://dx.doi.org/10.3390/machines10090743.

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The vibration energy distribution pattern usually changes with the rotating machine’s health state and is a good indicator for intelligent fault diagnosis (IFD). The existing initial features such as RMS are less effective in revealing the vibration energy distribution pattern, and the frequency spectrum cannot provide a rich and hierarchical description of the vibration energy distribution pattern. Addressing this issue, we proposed a multi-scale frequency energy distribution (MSFED) feature for the IFD of rotating machines. The MSFED feature can reveal the vibration energy distribution patterns in the frequency domain in a multi-scale manner, and its one-dimensional vector and two-dimensional map formats make it usable for most IFD models. Experimental validation on the gearbox and bearing datasets verified that the MSFED feature achieved the highest diagnostic accuracy among commonly used initial features, in typical fault diagnosis scenarios except for the variable-load scenario. Furthermore, the separability and transferability of the MSFED feature were evaluated by distance-based metrics, and the results were in agreement with the features’ diagnostic performance. This work provides an important reference for the IFD of rotating machines, not only proposing a novel MSFED feature but also opening a new avenue for model-independent methods of the initial quality evaluation.

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Lee, Sang-Woon, and Young-Wook Park. "Minimally Invasive Lateral Approach through Circular Window with a Diameter of 5 to 6 mm for Maxillary Sinus Floor Elevation with Simultaneous Implant Placement: Retrospective Study." Applied Sciences 11, no. 17 (September 6, 2021): 8244. http://dx.doi.org/10.3390/app11178244.

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The aims of this study were to propose a minimally invasive lateral approach technique for maxillary sinus floor elevation (MSFE) with simultaneous implant placement and to evaluate the surgical outcome and complications of this technique. This study reviewed 49 surgeries of MSFE with simultaneous implant placement (n = 83) using a minimally invasive lateral approach. A circular shape window with a diameter of 5 to 6 mm and an area of 20–30 mm2 was made on the lateral wall of the maxillary sinus. After elevation of the Schneiderian membrane, the xenograft was used for bone grafting. The MSFE was possible with a minimum-sized window in 47 of 49 cases. For the remaining 2 cases, MSFE with a minimum-sized window was failed. In one case, it was expanded to be more than 30 mm2 to repair the membrane perforation. In another case, MSFE was performed by forming two minimum-sized windows. Post-operative bleeding after MSFE occurred in one anticoagulant-treated patient. There was no failed implant during the follow-up period (mean 22 months). A minimally invasive lateral approach through a small circular window with a diameter of 5 to 6 mm is a feasible and safe technique for MSFE with simultaneous implant placement.

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Adelia, Tyrza, Andre Andre, and Joshia Eki Manuel. "Implementasi Multimedia Software Engineering Methodology Pada Pembuatan Perangkat Promosi Wisata." Keluwih: Jurnal Sains dan Teknologi 4, no. 1 (March 6, 2023): 1–12. http://dx.doi.org/10.24123/saintek.v4i1.5503.

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Abstract—Artikel ini membahas tentang perbedaan antara multimedia interaktif dan non-interaktif. Multimedia non-interaktif ditampilkan dalam format linier dan pengguna tidak dapat berinteraksi dengan kontennya, sedangkan multimedia interaktif memungkinkan pengguna untuk berinteraksi dan mengontrol cara konten ditampilkan. Dalam pembuatan produk multimedia, developer biasanya mengacu pada dua metode, yaitu Software Development Lifecycle (SDLC) dan Multimedia Production Stage (MPS). MSEM (Multimedia Software Engineering Methodology) adalah metode pengembangan perangkat lunak yang didesain untuk membantu dalam pembuatan aplikasi multimedia interaktif atau non-interaktif. Studi ini mengkaji manfaat MSEM pada implementasi produk multimedia dengan mempelajari dampak dan manfaat penggunaan MSEM pada perangkat promosi wisata lokal yang memuat multimedia interaktif dan non-interaktif. Manfaat penelitian ini adalah untuk memberikan masukan pihak developer multimedia untuk menggunakan MSEM dalam merencanakan dan mengembangkan produk multimedia. Abstrak—This article discusses the difference between interactive and non-interactive multimedia. Non-interactive multimedia is displayed in a linear format and users cannot interact with its content, while interactive multimedia allows users to interact and control the way content is displayed. In the creation of multimedia products, developers usually refer to two methods, the Software Development Lifecycle (SDLC) and the Multimedia Production Stage (MPS). MSEM (Multimedia Software Engineering Methodology) is a software development method designed to assist in the creation of interactive or non-interactive multimedia applications. This study examines the benefits of MSEM in multimedia product implementation by studying the impact and benefits of using MSEM in promoting local tourism products containing interactive and non-interactive multimedia. The purpose of this research is to provide input for multimedia developers to use MSEM in planning and developing multimedia products.

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Marcellino, Massimiliano. "Forecast Bias and MSFE Encompassing." Oxford Bulletin of Economics and Statistics 62, no. 4 (September 2000): 533–42. http://dx.doi.org/10.1111/1468-0084.00186.

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Yi, Seong-Tae, and Jin-Sun Lim. "Size Effect on Compressive Strength of Concrete Specimens Using SFEM (Meso-Scale Finite Element Method)." Journal of the Korea Concrete Institute 33, no. 2 (April 30, 2021): 195–202. http://dx.doi.org/10.4334/jkci.2021.33.2.195.

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Killinger, Simon, Alexander Haberl, and Rolf Rascher. "Analysis of residual errors during computer controlled polishing." EPJ Web of Conferences 215 (2019): 07001. http://dx.doi.org/10.1051/epjconf/201921507001.

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In computer controlled subapertur polishing the formation of mid spatial frequency errors (MSFE) needs special attention. In this work the formation of MSFE in feed direction is investigated using the ADAPT tool from Satisloh.

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Su, Mu-Chun, Wei-Zhe Lu, Jonathan Lee, Gwo-Dong Chen, and Chen-Chiung Hsieh. "The MSFAM: a modified fuzzy ARTMAP system." Pattern Analysis and Applications 8, no. 1-2 (January 14, 2005): 1–16. http://dx.doi.org/10.1007/s10044-004-0229-y.

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Bouwman, Wilhelmus F., Nathalie Bravenboer, Christiaan M. ten Bruggenkate, Francis A. Eijsackers, Najada Stringa, and Engelbert A. J. M. Schulten. "Tissue Level Changes after Maxillary Sinus Floor Elevation with Three Types of Calcium Phosphate Ceramics: A Radiological Study with a 5-Year Follow-Up." Materials 14, no. 6 (March 17, 2021): 1471. http://dx.doi.org/10.3390/ma14061471.

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This study evaluates the radiological changes in tissue height after maxillary sinus floor elevation (MSFE) using three types of calcium phosphate ceramics over a period of up to 5 years after dental implant placement. In 163 patients, MSFE was performed. Three groups of patients were distinguished and treated based on the type of calcium phosphate ceramic used and radiologically evaluated: 40 patients with β-tricalcium phosphate (β-TCP), 76 patients with biphasic calcium phosphate (BCP) 20% hydroxyapatite (HA)-80% β-TCP, and 47 patients with BCP 60% HA-40% β-TCP. Radiological measurements were performed on panoramic radiographs at several time points up to 5 years after dental implant placement. After MSFE, a slow decrease in tissue height measured over time was seen in all three study groups. Resorption of the grafted bone substitutes was more prominent in β-TCP than in BCP ceramics with an HA component (60/40 and 20/80). Loss of tissue height after 5 years was lowest in BCP 60/40 and highest in β-TCP. This radiological study shows a predictable and comparable behavior of the slow decrease in tissue height over time for all three types of calcium phosphate ceramics used in MSFE. The fraction of HA in calcium phosphate ceramics and dental implant loading seems to be beneficial for tissue height maintenance after MSFE.

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Yin, Xue Song, Qi Huang, and Liang Ming Li. "Metric-Based Semi-Supervised Fuzzy C-Means Clustering." Advanced Materials Research 268-270 (July 2011): 166–71. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.166.

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This paper presents a metric-based semi-supervised fuzzy c-means algorithm called MSFCM. Through using side information and unlabeled data together, MSFCM can be applied to both clustering and classification tasks. The resulting algorithm has the following advantages compared with semi-supervised clustering: firstly, membership degree as side information is used to guide the clustering of the data; secondly, through the metric learned, clustering accuracy can be greatly improved. Experimental results on a collection of real-world data sets demonstrated the effectiveness of the proposed algorithm.

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Bouwman, Wilhelmus F., Nathalie Bravenboer, Christiaan M. ten Bruggenkate, and Engelbert A. J. M. Schulten. "The Use of Autogenous Bone Mixed with a Biphasic Calcium Phosphate in a Maxillary Sinus Floor Elevation Procedure with a 6-Month Healing Time: A Clinical, Radiological, Histological and Histomorphometric Evaluation." Coatings 10, no. 5 (May 9, 2020): 462. http://dx.doi.org/10.3390/coatings10050462.

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Background: In this study it is evaluated whether autogenous bone mixed with biphasic calcium phosphate (BCP) used in a maxillary sinus floor elevation (MSFE) leads to improved bone formation. Materials and methods: In five patients a unilateral MSFE was performed. Histological and histomorphometric analyses were performed on bone biopsies that were obtained 6 months after MSFE during dental implant surgery. Results: The average vital bone volume was 29.9% of the total biopsy (BV/TV, SD ± 10.1) of which 7.1% was osteoid (OV/BV, SD ± 4.8). The osteoid surface (OS/BS) covered 26.0% (SD ± 13.4) of the bone surface. The BS/TV covered 4.7 mm2/mm3 (SD ± 2.3). Compared with previous studies the analyses showed a difference for trabecular thickness (Tb.Th.) and osteoid surface (OS/BS), but not for BV/TV, OV/BV and the number of osteoclasts. Conclusion: MSFE with autogenous bone mixed with BCP shows an amount of newly formed bone that is comparable with the findings from the previously published 6-month study with pure BCP. However, a better distribution of the new bone over the entire biopsy was observed.

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Yan, Haiyang, Wei Li, Yongming Zhou, Muhammad Irfan, Yaoming Wang, Chenxiao Jiang, and Tongwen Xu. "In-Situ Combination of Bipolar Membrane Electrodialysis with Monovalent Selective Anion-Exchange Membrane for the Valorization of Mixed Salts into Relatively High-Purity Monoprotic and Diprotic Acids." Membranes 10, no. 6 (June 26, 2020): 135. http://dx.doi.org/10.3390/membranes10060135.

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The crystalized mixed salts from the zero liquid discharge process are a hazardous threat to the environment. In this study, we developed a novel electrodialysis (SBMED) method by assembling the monovalent selective anion-exchange membrane (MSAEM) into the bipolar membrane electrodialysis (BMED) stack. By taking the advantages of water splitting in the bipolar membrane and high perm-selectivity of MSAEM for the Cl− ions against the SO42− ions, this combination allows the concurrent separation of Cl−/SO42− and conversion of mixed salts into relatively high-purity monoprotic and diprotic acids. The current density has a significant impact on the acid purity. Both the monoprotic and diprotic acid purities were higher than 80% at a low current density of 10 mA/cm2. The purities of the monoprotic acids decreased with an increase in the current density, indicating that the perm-selectivity of MSAEM decreases with increasing current density. An increase in the ratio of monovalent to divalent anions in the feed was beneficial to increase the purity of monoprotic acids. High-purity monoprotic acids in the range of 93.9–96.1% were obtained using this novel SBMED stack for treating simulated seawater. Therefore, it is feasible for SBMED to valorize the mixed salts into relatively high-purity monoprotic and diprotic acids in one step.

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Ji, Shiyong, Benzheng Wei, Zhen Yu, Gongping Yang, and Yilong Yin. "A New Multistage Medical Segmentation Method Based on Superpixel and Fuzzy Clustering." Computational and Mathematical Methods in Medicine 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/747549.

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The medical image segmentation is the key approach of image processing for brain MRI images. However, due to the visual complex appearance of image structures and the imaging characteristic, it is still challenging to automatically segment brain MRI image. A new multi-stage segmentation method based on superpixel and fuzzy clustering (MSFCM) is proposed to achieve the good brain MRI segmentation results. The MSFCM utilizes the superpixels as the clustering objects instead of pixels, and it can increase the clustering granularity and overcome the influence of noise and bias effectively. In the first stage, the MRI image is parsed into several atomic areas, namely, superpixels, and a further parsing step is adopted for the areas with bigger gray variance over setting threshold. Subsequently, designed fuzzy clustering is carried out to the fuzzy membership of each superpixel, and an iterative broadcast method based on the Butterworth function is used to redefine their classifications. Finally, the segmented image is achieved by merging the superpixels which have the same classification label. The simulated brain database from BrainWeb site is used in the experiments, and the experimental results demonstrate that MSFCM method outperforms the traditional FCM algorithm in terms of segmentation accuracy and stability for MRI image.

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Hash, Kristina M., and Mandana R. Weirich. "Teaching Aging Through Intersectionality for MSTEM and Other Disciplines." International Journal of Aging and Human Development 91, no. 4 (April 22, 2020): 381–94. http://dx.doi.org/10.1177/0091415020919996.

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Recent years have seen a push for providing education in gerontology for social services and health care related disciplines. Equally important are efforts to similarly educate students in the fields of medicine, science, technology, engineering, and mathematics (MSTEM). MSTEM professionals can be instrumental in assisting the growing number of older adults and their families in overcoming challenges and building supports that can allow older persons to live self-determined, healthy, and happy lives. The standard gerontological training for students has involved content and instruction on the normative development and experiences of older adults and their families. This article will provide a model for a broad range of students how to understand and effectively work with and on behalf of older adults, through content on the normative, major issues and experiences with a critical focus on the diversity of the population and the multiple intersections of age with other identities.

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Hasan, Mohamad K., Mohammad Saoud, and Raed Al-Husain. "Supernetwork Representation Formulation of a Multiclass Simultaneous Transportation Equilibrium Model as a Fixed Demand User Equilibrium Problem." International Journal of Operations Research and Information Systems 12, no. 3 (July 2021): 18–33. http://dx.doi.org/10.4018/ijoris.20210701.oa2.

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A multiclass simultaneous transportation equilibrium model (MSTEM) explicitly distinguishes between different user classes in terms of socioeconomic attributes, trip purpose, pure and combined transportation modes, as well as departure time, all interacting over a physically unique multimodal network. It enhances the prediction process behaviorally by combining the trip generation and departure time choices to trip distribution, modal split, and trip assignment choices in a unified and flexible framework that has many advantages from both supply and demand sides. However, the development of this concept of multiple classes increases the mathematical complexity of travel forecasting models. In this research, the authors reduce this mathematical complexity by using the supernetwork representation formulation of the diagonalized MSTEM as a fixed demand user equilibrium (FDUE) problem.

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Yin, Lu, Zhi-xuan Zhou, Ming Shen, Ning Chen, Fei Jiang, and Shou-Lin Wang. "The Human Amniotic Mesenchymal Stem Cells (hAMSCs) Improve the Implant Osseointegration and Bone Regeneration in Maxillary Sinus Floor Elevation in Rabbits." Stem Cells International 2019 (December 11, 2019): 1–10. http://dx.doi.org/10.1155/2019/9845497.

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Insufficient bone height in the posterior maxilla is a challenging problem in dental implantation. Bio-Oss, though routinely used in maxillary sinus floor elevation (MSFE), is not osteoinductive. Human amniotic mesenchymal cells (hAMSCs) isolated from placental tissues have potential for multidifferentiation and immunomodulatory properties and can be easily obtained without the need for invasive procedures and without ethical concerns. This is the first study to use hAMSCs to improve implant osseointegration and bone regeneration after MSFE. Human AMSCs were loaded into a fibrin gel and injected into rabbit MSFE models. The rabbits were assigned to four groups (n=3 per group), i.e., the control group, the hAMSC group, the Bio-Oss group, and the hAMSC/Bio-Oss group. The animals were sacrificed at postsurgery for four and twelve weeks and evaluated by histology and immunohistochemistry. Bone volume, bone volume/tissue volume, bone-to-implant contact ratio, and vessel-like structures in the hAMSC/Bio-Oss group were significantly better than those in other groups in the peri-implant and augmented areas. Immunofluorescence staining showed that alkaline phosphatase (ALP) activities of two hAMSC groups were higher than those of the other two groups. Sequential fluorescent labeling was performed in all of the 12-week groups. Observations showed that hAMSCs accelerated mineralized deposition rates on implant surfaces and in bone-augmented areas. These data demonstrated that hAMSCs could enhance implant osseointegration and bone regeneration after MSFE and might be used to optimize dental implantation in the future.

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Wen, Wu, Tianhao Li, Amr Tolba, Ziyi Liu, and Kai Shao. "Progressively Multi-Scale Feature Fusion for Image Inpainting." Mathematics 11, no. 24 (December 8, 2023): 4908. http://dx.doi.org/10.3390/math11244908.

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The rapid advancement of Wise Information Technology of med (WITMED) has made the integration of traditional Chinese medicine tongue diagnosis and computer technology an increasingly significant area of research. The doctor obtains patient’s tongue images to make a further diagnosis. However, the tongue image may be broken during the process of collecting the tongue image. Due to the extremely complex texture of the tongue and significant individual differences, existing methods fail to fully obtain sufficient feature information, which result in inaccurate inpainted tongue images. To address this problem, we propose a recurrent tongue image inpainting algorithm based on multi-scale feature fusion called Multi-Scale Fusion Module and Recurrent Attention Mechanism Network (MSFM-RAM-Net). We first propose Multi-Scale Fusion Module (MSFM), which preserves the feature information of tongue images at different scales and enhances the consistency between structures. To simultaneously accelerate the inpainting process and enhance the quality of the inpainted results, Recurrent Attention Mechanism (RAM) is proposed. RAM focuses the network’s attention on important areas and uses known information to gradually inpaint image, which can avoid redundant feature information and the problem of texture confusion caused by large missing areas. Finally, we establish a tongue image dataset and use this dataset to qualitatively and quantitatively evaluate the MSFM-RAM-Net. The results shows that the MSFM-RAM-Net has a better effect on tongue image inpainting, with PSNR and SSIM increasing by 2.1% and 3.3%, respectively.

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I. Ferreira, Sara, Marta Pedro, and Rita Francisco. "Entre marido e mulher, a crise mete a colher: A relação entre pressão económica, conflito e satisfação conjugal." PSICOLOGIA 29, no. 1 (June 2, 2015): 11–22. http://dx.doi.org/10.17575/rpsicol.v29i1.985.

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Considerando a crise económica que Portugal atravessa, e com base no modelo de stress familiar económico (MSFE), o presente estudo teve como objectivo investigar o papel mediador do stress emocional na relação entre a percepção de pressão económica e o conflito e satisfação conjugais. Procurou-se, ainda, alargar a aplicabilidade do MSFE, testando-o no contexto português, bem como contribuir para um maior conhecimento do modelo através da utilização de uma abordagem de análise baseada no actor-partner interdependence model. Participaram no estudo 208 casais portugueses, casados ou em união de facto, com filhos adolescentes. Os resultados mostraram uma relação indirecta entre a percepção de pressão económica e o conflito e satisfação conjugais, mediada através do stress emocional de cada cônjuge. Os resultados indicaram também a existência uma relação directa entre a percepção de pressão económica e o conflito conjugal de ambos os elementos do casal, bem como entre a percepção de pressão económica e a satisfação conjugal dos homens, divergindo do preconizado pelo MSFE e sugerindo possíveis influências culturais.

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Kishi, M., K. Hattori, M. Tatsumoto, and S. Koyama. "Development of training simulator for MSFE desalination plant." Desalination 66 (December 1987): 75–90. http://dx.doi.org/10.1016/0011-9164(87)90196-2.

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Lee, Bitna. "Using Level-Specific Fit Evaluation of Model Fit to Assess Multilevel Structural Equation Model." Korean Society for Educational Evaluation 37, no. 1 (March 30, 2024): 117–43. http://dx.doi.org/10.31158/jeev.2024.37.1.117.

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While a level-specific approach has been proposed for the valid evaluation of multilevel structural equation modeling (MSEM), the traditional simultaneous approach remains predominant among researchers. In fact, research on level-specific approaches is limited, and some studies have focused on multilevel confirmatory factor analysis models. This study conducted a Monte Carlo study to explore the performance of a LS approach for MSEM with a direct path between variables under five design factors: intraclass correlation (ICC), the number of groups (NG), group size (GS), the size of path coefficient (PCS), and misspecification type (MT). The results showed that the LS approach performed better than the SI approach even in MSEM at between-group level. This study identified three key findings. First, the performance of RMSEA was found to improve with an increase of ICC or GS. Second, the performance of LS fit indices (RMSEA, CFI, and TLI) was more promising for detecting the misspecified between-level model with a decrease of PCS. Third, the effect of PCS on CFI or TLI was strong when ICC was small. The study concludes with a summary and implications of the results.

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Sazzad, Hossain M. S., Luke McCredie, Carla Treloar, Andrew R. Lloyd, and Lise Lafferty. "Violence and hepatitis C transmission in prison—A modified social ecological model." PLOS ONE 15, no. 12 (December 1, 2020): e0243106. http://dx.doi.org/10.1371/journal.pone.0243106.

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Background Transmission of hepatitis C virus (HCV) among the prisoner population is most frequently associated with sharing of non-sterile injecting equipment. Other blood-to-blood contacts such as tattooing and physical violence are also common in the prison environment, and have been associated with HCV transmission. The context of such non-injecting risk behaviours, particularly violence, is poorly studied. The modified social-ecological model (MSEM) was used to examine HCV transmission risk and violence in the prison setting considering individual, network, community and policy factors. Methods The Australian Hepatitis C Incidence and Transmission Study in prisons (HITS-p) cohort enrolled HCV uninfected prisoners with injecting and non-injecting risk behaviours, who were followed up for HCV infection from 2004–2014. Qualitative interviews were conducted within 23 participants; of whom 13 had become HCV infected. Deductive analysis was undertaken to identify violence as risk within prisons among individual, network, community, and public policy levels. Results The risk context for violence and HCV exposure varied across the MSEM. At the individual level, participants were concerned about blood contact during fights, given limited scope to use gloves to prevent blood contamination. At the network level, drug debt and informing on others to correctional authorities, were risk factors for violence and potential HCV transmission. At the community level, racial influence, social groupings, and socially maligned crimes like sexual assault of children were identified as possible triggers for violence. At the policy level, rules and regulations by prison authority influenced the concerns and occurrence of violence and potential HCV transmission. Conclusion Contextual concerns regarding violence and HCV transmission were evident at each level of the MSEM. Further evidence-based interventions targeted across the MSEM may reduce prison violence, provide opportunities for HCV prevention when violence occurs and subsequent HCV exposure.

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Liu, Jinshan. "MSEM dominance of estimators in two seemingly unrelated regressions." Journal of Statistical Planning and Inference 88, no. 2 (August 2000): 255–66. http://dx.doi.org/10.1016/s0378-3758(00)00082-3.

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Wu, Yuching, and Jianzhuang Xiao. "The Multiscale Spectral Stochastic Finite Element Method for Chloride Diffusion in Recycled Aggregate Concrete." International Journal of Computational Methods 15, no. 01 (September 27, 2017): 1750078. http://dx.doi.org/10.1142/s0219876217500785.

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In this study, the multiscale stochastic finite element method (MsSFEM) was developed based on a novel digital image kernel to make analysis for chloride diffusion in recycled aggregate concrete (RAC). It is significant to study the chloride diffusivity in RAC, because when RAC was applied in coastal areas, chloride-induced rebar corrosion became a common problem for concrete infrastructures. The MsSFEM was an efficient tool to examine the effect of microscopic randomness of RAC on the chloride diffusivity. Based on the proposed digital image kernel, the Karhunen–Loeve expansion and the polynomial chaos were used in the stochastic homogenization process. To investigate advantages and disadvantages of both generation and application of the proposed digital image kernel, it was compared with many other kernels. The comparisons were made between the method to develop the digital image kernel, which is called the pixel-matrix method, and other methods, and between the application of the kernel and various other kernels. It was shown that the proposed digital image kernel is superior to other kernels in many aspects.

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Sanges, Giuseppe, Mario Gamerra, Gerardo Sorrentino, Roberto De Luca, Maddalena Merone, Michele Feleppa, and Marcelo Eduardo Bigal. "Endoscopic sinus surgery in individuals with facial pain due to chronic maxillary sinusitis ? a functional controlled study." Arquivos de Neuro-Psiquiatria 72, no. 8 (July 4, 2014): 609–12. http://dx.doi.org/10.1590/0004-282x20140092.

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Objective: To measure the intra-sinus pressure and the maxillary sinus functional efficiency (MSFE) in individuals with chronic facial pain after conservative or conventional endoscopic maxillary surgery, as well as in controls. Method: Sinus manometry was performed 5 times during inhalation. Results: The resemblance of pressure values comparing those treated with minimally invasive surgery and controls was remarkable, while traditional surgery significantly decreased intrasinusal pressures. The MSFE was 100% in the three tested times for controls, close to that in those submitted to minimally invasive surgery (98.3%, 98.8%, and 98.0%) and significantly impaired after conventional surgery (48.8%, 52.1%, 48.5 %, p<0.01). All patients submitted to minimally invasive surgery remained pain-free after three months of surgery, relative to 46.7% of the submitted to conventional surgery (p<0.05). Conclusion: Minimally invasive sinus surgery is associated with functionality of the chambers that resemble what is found in normal individuals.

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Journal articles on the topic 'MsFEM'

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